Calculus and Analysis in Euclidean Space
The graceful role of analysis in underpinning calculus is often lost to their separation in the curriculum. This book entwines the two subjects, providing a conceptual approach to multivariable calculus closely supported by the structure and reasoning of analysis. The setting is Euclidean space, wit...
| Κύριος συγγραφέας: | |
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| Συγγραφή απο Οργανισμό/Αρχή: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
Cham :
Springer International Publishing : Imprint: Springer,
2016.
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| Σειρά: | Undergraduate Texts in Mathematics,
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| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Preface
- 1 Results from One-Variable Calculus
- Part I Multivariable Differential Calculus
- 2 Euclidean Space
- 3 Linear Mappings and Their Matrices
- 4 The Derivative
- 5 Inverse and Implicit Functions
- Part II Multivariable Integral Calculus
- 6 Integration
- 7 Approximation by Smooth Functions
- 8 Parameterized Curves
- 9 Integration of Differential Forms
- Index.
